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Finding the Fourth Proportional to 4,374.76, 6,547.02 and 4,193.32

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Solution

The fourth proportional to 4,374.76, 6,547.02 and 4,193.32 is: 6,275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,374.76 : 6,547.02 = 4,193.32 : x
  2. Step 2: Convert to fraction form
    4,374.76/6,547.02 = 4,193.32/x
  3. Step 3: Cross multiply
    4,374.76x = 6,547.02 × 4,193.32
  4. Step 4: Simplify right side
    4,374.76x = 27,453,749.91
  5. Step 5: Solve for x
    x = 27,453,749.91/4,374.76
  6. Step 6: Final answer
    x = 6,275.49

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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.