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Finding the Fourth Proportional to 4,666.60, 6,437.10 and 3,670.30

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Solution

The fourth proportional to 4,666.60, 6,437.10 and 3,670.30 is: 5,062.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.60 : 6,437.10 = 3,670.30 : x
  2. Step 2: Convert to fraction form
    4,666.60/6,437.10 = 3,670.30/x
  3. Step 3: Cross multiply
    4,666.60x = 6,437.10 × 3,670.30
  4. Step 4: Simplify right side
    4,666.60x = 23,626,088.13
  5. Step 5: Solve for x
    x = 23,626,088.13/4,666.60
  6. Step 6: Final answer
    x = 5,062.81

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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.