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Finding the Fourth Proportional to 5,746.61, 7,924.80 and 3,477.50

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Solution

The fourth proportional to 5,746.61, 7,924.80 and 3,477.50 is: 4,795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.61 : 7,924.80 = 3,477.50 : x
  2. Step 2: Convert to fraction form
    5,746.61/7,924.80 = 3,477.50/x
  3. Step 3: Cross multiply
    5,746.61x = 7,924.80 × 3,477.50
  4. Step 4: Simplify right side
    5,746.61x = 27,558,495.13
  5. Step 5: Solve for x
    x = 27,558,495.13/5,746.61
  6. Step 6: Final answer
    x = 4,795.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.