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Finding the Fourth Proportional to 6,035.86, 9,052.56 and 1,652.98

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Solution

The fourth proportional to 6,035.86, 9,052.56 and 1,652.98 is: 2,479.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,035.86 : 9,052.56 = 1,652.98 : x
  2. Step 2: Convert to fraction form
    6,035.86/9,052.56 = 1,652.98/x
  3. Step 3: Cross multiply
    6,035.86x = 9,052.56 × 1,652.98
  4. Step 4: Simplify right side
    6,035.86x = 14,963,700.63
  5. Step 5: Solve for x
    x = 14,963,700.63/6,035.86
  6. Step 6: Final answer
    x = 2,479.13

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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.