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Finding the Fourth Proportional to 5,421.70, 8,133.06 and 1,526.10

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Solution

The fourth proportional to 5,421.70, 8,133.06 and 1,526.10 is: 2,289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421.70 : 8,133.06 = 1,526.10 : x
  2. Step 2: Convert to fraction form
    5,421.70/8,133.06 = 1,526.10/x
  3. Step 3: Cross multiply
    5,421.70x = 8,133.06 × 1,526.10
  4. Step 4: Simplify right side
    5,421.70x = 12,411,862.87
  5. Step 5: Solve for x
    x = 12,411,862.87/5,421.70
  6. Step 6: Final answer
    x = 2,289.29

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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.