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Finding the Fourth Proportional to 4,870.89, 7,307.03 and 1,538.01

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Solution

The fourth proportional to 4,870.89, 7,307.03 and 1,538.01 is: 2,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.89 : 7,307.03 = 1,538.01 : x
  2. Step 2: Convert to fraction form
    4,870.89/7,307.03 = 1,538.01/x
  3. Step 3: Cross multiply
    4,870.89x = 7,307.03 × 1,538.01
  4. Step 4: Simplify right side
    4,870.89x = 11,238,285.21
  5. Step 5: Solve for x
    x = 11,238,285.21/4,870.89
  6. Step 6: Final answer
    x = 2,307.23

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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.