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Finding the Fourth Proportional to 5,510.64, 7,602.94 and 3,152.32

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Solution

The fourth proportional to 5,510.64, 7,602.94 and 3,152.32 is: 4,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510.64 : 7,602.94 = 3,152.32 : x
  2. Step 2: Convert to fraction form
    5,510.64/7,602.94 = 3,152.32/x
  3. Step 3: Cross multiply
    5,510.64x = 7,602.94 × 3,152.32
  4. Step 4: Simplify right side
    5,510.64x = 23,966,899.82
  5. Step 5: Solve for x
    x = 23,966,899.82/5,510.64
  6. Step 6: Final answer
    x = 4,349.20

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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.