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Finding the Fourth Proportional to 4,566.84, 6,856.74 and 4,358.04

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Solution

The fourth proportional to 4,566.84, 6,856.74 and 4,358.04 is: 6,543.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.84 : 6,856.74 = 4,358.04 : x
  2. Step 2: Convert to fraction form
    4,566.84/6,856.74 = 4,358.04/x
  3. Step 3: Cross multiply
    4,566.84x = 6,856.74 × 4,358.04
  4. Step 4: Simplify right side
    4,566.84x = 29,881,947.19
  5. Step 5: Solve for x
    x = 29,881,947.19/4,566.84
  6. Step 6: Final answer
    x = 6,543.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.