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Finding the Fourth Proportional to 4,753.02, 7,130.58 and 1,466.40

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Solution

The fourth proportional to 4,753.02, 7,130.58 and 1,466.40 is: 2,199.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.02 : 7,130.58 = 1,466.40 : x
  2. Step 2: Convert to fraction form
    4,753.02/7,130.58 = 1,466.40/x
  3. Step 3: Cross multiply
    4,753.02x = 7,130.58 × 1,466.40
  4. Step 4: Simplify right side
    4,753.02x = 10,456,282.51
  5. Step 5: Solve for x
    x = 10,456,282.51/4,753.02
  6. Step 6: Final answer
    x = 2,199.92

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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.