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Finding the Fourth Proportional to 5,865.40, 8,748.68 and 5,457.16

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Solution

The fourth proportional to 5,865.40, 8,748.68 and 5,457.16 is: 8,139.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.40 : 8,748.68 = 5,457.16 : x
  2. Step 2: Convert to fraction form
    5,865.40/8,748.68 = 5,457.16/x
  3. Step 3: Cross multiply
    5,865.40x = 8,748.68 × 5,457.16
  4. Step 4: Simplify right side
    5,865.40x = 47,742,946.55
  5. Step 5: Solve for x
    x = 47,742,946.55/5,865.40
  6. Step 6: Final answer
    x = 8,139.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.