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Finding the Fourth Proportional to 5,655.91, 7,804.80 and 3,416.46

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Solution

The fourth proportional to 5,655.91, 7,804.80 and 3,416.46 is: 4,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.91 : 7,804.80 = 3,416.46 : x
  2. Step 2: Convert to fraction form
    5,655.91/7,804.80 = 3,416.46/x
  3. Step 3: Cross multiply
    5,655.91x = 7,804.80 × 3,416.46
  4. Step 4: Simplify right side
    5,655.91x = 26,664,787.01
  5. Step 5: Solve for x
    x = 26,664,787.01/5,655.91
  6. Step 6: Final answer
    x = 4,714.50

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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.