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Finding the Fourth Proportional to 4,952.32, 7,409.76 and 2,970.40

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Solution

The fourth proportional to 4,952.32, 7,409.76 and 2,970.40 is: 4,444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.32 : 7,409.76 = 2,970.40 : x
  2. Step 2: Convert to fraction form
    4,952.32/7,409.76 = 2,970.40/x
  3. Step 3: Cross multiply
    4,952.32x = 7,409.76 × 2,970.40
  4. Step 4: Simplify right side
    4,952.32x = 22,009,951.10
  5. Step 5: Solve for x
    x = 22,009,951.10/4,952.32
  6. Step 6: Final answer
    x = 4,444.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.