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Finding the Fourth Proportional to 5,225.49, 7,838.98 and 1,528

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Solution

The fourth proportional to 5,225.49, 7,838.98 and 1,528 is: 2,292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.49 : 7,838.98 = 1,528 : x
  2. Step 2: Convert to fraction form
    5,225.49/7,838.98 = 1,528/x
  3. Step 3: Cross multiply
    5,225.49x = 7,838.98 × 1,528
  4. Step 4: Simplify right side
    5,225.49x = 11,977,953.80
  5. Step 5: Solve for x
    x = 11,977,953.80/5,225.49
  6. Step 6: Final answer
    x = 2,292.22

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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.