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Finding the Fourth Proportional to 5,214.84, 7,781.70 and 5,089.74

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Solution

The fourth proportional to 5,214.84, 7,781.70 and 5,089.74 is: 7,595.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.84 : 7,781.70 = 5,089.74 : x
  2. Step 2: Convert to fraction form
    5,214.84/7,781.70 = 5,089.74/x
  3. Step 3: Cross multiply
    5,214.84x = 7,781.70 × 5,089.74
  4. Step 4: Simplify right side
    5,214.84x = 39,606,829.76
  5. Step 5: Solve for x
    x = 39,606,829.76/5,214.84
  6. Step 6: Final answer
    x = 7,595.02

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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.