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Finding the Fourth Proportional to 4,666.64, 6,448.16 and 3,730.17

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Solution

The fourth proportional to 4,666.64, 6,448.16 and 3,730.17 is: 5,154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.64 : 6,448.16 = 3,730.17 : x
  2. Step 2: Convert to fraction form
    4,666.64/6,448.16 = 3,730.17/x
  3. Step 3: Cross multiply
    4,666.64x = 6,448.16 × 3,730.17
  4. Step 4: Simplify right side
    4,666.64x = 24,052,714.34
  5. Step 5: Solve for x
    x = 24,052,714.34/4,666.64
  6. Step 6: Final answer
    x = 5,154.18

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