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Finding the Fourth Proportional to 5,306.46, 7,322.58 and 2,948.46

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Solution

The fourth proportional to 5,306.46, 7,322.58 and 2,948.46 is: 4,068.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.46 : 7,322.58 = 2,948.46 : x
  2. Step 2: Convert to fraction form
    5,306.46/7,322.58 = 2,948.46/x
  3. Step 3: Cross multiply
    5,306.46x = 7,322.58 × 2,948.46
  4. Step 4: Simplify right side
    5,306.46x = 21,590,334.23
  5. Step 5: Solve for x
    x = 21,590,334.23/5,306.46
  6. Step 6: Final answer
    x = 4,068.69

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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.