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Finding the Fourth Proportional to 4,294.58, 6,444.75 and 1,521.25

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Solution

The fourth proportional to 4,294.58, 6,444.75 and 1,521.25 is: 2,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.58 : 6,444.75 = 1,521.25 : x
  2. Step 2: Convert to fraction form
    4,294.58/6,444.75 = 1,521.25/x
  3. Step 3: Cross multiply
    4,294.58x = 6,444.75 × 1,521.25
  4. Step 4: Simplify right side
    4,294.58x = 9,804,075.94
  5. Step 5: Solve for x
    x = 9,804,075.94/4,294.58
  6. Step 6: Final answer
    x = 2,282.90

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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.