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Finding the Fourth Proportional to 7,298.93, 10,948.38 and 2,368.57

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Solution

The fourth proportional to 7,298.93, 10,948.38 and 2,368.57 is: 3,552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.93 : 10,948.38 = 2,368.57 : x
  2. Step 2: Convert to fraction form
    7,298.93/10,948.38 = 2,368.57/x
  3. Step 3: Cross multiply
    7,298.93x = 10,948.38 × 2,368.57
  4. Step 4: Simplify right side
    7,298.93x = 25,931,949.67
  5. Step 5: Solve for x
    x = 25,931,949.67/7,298.93
  6. Step 6: Final answer
    x = 3,552.85

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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.