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Finding the Fourth Proportional to 4,599.80, 6,898.74 and 1,312.01

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Solution

The fourth proportional to 4,599.80, 6,898.74 and 1,312.01 is: 1,967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.80 : 6,898.74 = 1,312.01 : x
  2. Step 2: Convert to fraction form
    4,599.80/6,898.74 = 1,312.01/x
  3. Step 3: Cross multiply
    4,599.80x = 6,898.74 × 1,312.01
  4. Step 4: Simplify right side
    4,599.80x = 9,051,215.87
  5. Step 5: Solve for x
    x = 9,051,215.87/4,599.80
  6. Step 6: Final answer
    x = 1,967.74

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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.