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Finding the Fourth Proportional to 4,657.37, 6,987.06 and 1,538.06

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Solution

The fourth proportional to 4,657.37, 6,987.06 and 1,538.06 is: 2,307.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.37 : 6,987.06 = 1,538.06 : x
  2. Step 2: Convert to fraction form
    4,657.37/6,987.06 = 1,538.06/x
  3. Step 3: Cross multiply
    4,657.37x = 6,987.06 × 1,538.06
  4. Step 4: Simplify right side
    4,657.37x = 10,746,482.57
  5. Step 5: Solve for x
    x = 10,746,482.57/4,657.37
  6. Step 6: Final answer
    x = 2,307.42

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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.