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Finding the Fourth Proportional to 5,666.84, 7,820.12 and 3,148.94

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Solution

The fourth proportional to 5,666.84, 7,820.12 and 3,148.94 is: 4,345.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.84 : 7,820.12 = 3,148.94 : x
  2. Step 2: Convert to fraction form
    5,666.84/7,820.12 = 3,148.94/x
  3. Step 3: Cross multiply
    5,666.84x = 7,820.12 × 3,148.94
  4. Step 4: Simplify right side
    5,666.84x = 24,625,088.67
  5. Step 5: Solve for x
    x = 24,625,088.67/5,666.84
  6. Step 6: Final answer
    x = 4,345.47

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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.