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Finding the Fourth Proportional to 4,744.50, 6,547.50 and 2,648.76

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Solution

The fourth proportional to 4,744.50, 6,547.50 and 2,648.76 is: 3,655.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.50 : 6,547.50 = 2,648.76 : x
  2. Step 2: Convert to fraction form
    4,744.50/6,547.50 = 2,648.76/x
  3. Step 3: Cross multiply
    4,744.50x = 6,547.50 × 2,648.76
  4. Step 4: Simplify right side
    4,744.50x = 17,342,756.10
  5. Step 5: Solve for x
    x = 17,342,756.10/4,744.50
  6. Step 6: Final answer
    x = 3,655.34

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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.