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Finding the Fourth Proportional to 4,953.60, 7,430.13 and 1,666.35

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Solution

The fourth proportional to 4,953.60, 7,430.13 and 1,666.35 is: 2,499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.60 : 7,430.13 = 1,666.35 : x
  2. Step 2: Convert to fraction form
    4,953.60/7,430.13 = 1,666.35/x
  3. Step 3: Cross multiply
    4,953.60x = 7,430.13 × 1,666.35
  4. Step 4: Simplify right side
    4,953.60x = 12,381,197.13
  5. Step 5: Solve for x
    x = 12,381,197.13/4,953.60
  6. Step 6: Final answer
    x = 2,499.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.