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Finding the Fourth Proportional to 5,820.71, 8,032.11 and 4,056.13

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Solution

The fourth proportional to 5,820.71, 8,032.11 and 4,056.13 is: 5,597.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.71 : 8,032.11 = 4,056.13 : x
  2. Step 2: Convert to fraction form
    5,820.71/8,032.11 = 4,056.13/x
  3. Step 3: Cross multiply
    5,820.71x = 8,032.11 × 4,056.13
  4. Step 4: Simplify right side
    5,820.71x = 32,579,242.17
  5. Step 5: Solve for x
    x = 32,579,242.17/5,820.71
  6. Step 6: Final answer
    x = 5,597.13

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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.