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Finding the Fourth Proportional to 5,602.48, 7,730.58 and 3,364

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Solution

The fourth proportional to 5,602.48, 7,730.58 and 3,364 is: 4,641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.48 : 7,730.58 = 3,364 : x
  2. Step 2: Convert to fraction form
    5,602.48/7,730.58 = 3,364/x
  3. Step 3: Cross multiply
    5,602.48x = 7,730.58 × 3,364
  4. Step 4: Simplify right side
    5,602.48x = 26,005,671.12
  5. Step 5: Solve for x
    x = 26,005,671.12/5,602.48
  6. Step 6: Final answer
    x = 4,641.81

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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.