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Finding the Fourth Proportional to 4,925.76, 7,345.92 and 4,200

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Solution

The fourth proportional to 4,925.76, 7,345.92 and 4,200 is: 6,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,925.76 : 7,345.92 = 4,200 : x
  2. Step 2: Convert to fraction form
    4,925.76/7,345.92 = 4,200/x
  3. Step 3: Cross multiply
    4,925.76x = 7,345.92 × 4,200
  4. Step 4: Simplify right side
    4,925.76x = 30,852,864
  5. Step 5: Solve for x
    x = 30,852,864/4,925.76
  6. Step 6: Final answer
    x = 6,263.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.