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Finding the Fourth Proportional to 4,339.94, 6,509.88 and 1,053.05

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Solution

The fourth proportional to 4,339.94, 6,509.88 and 1,053.05 is: 1,579.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.94 : 6,509.88 = 1,053.05 : x
  2. Step 2: Convert to fraction form
    4,339.94/6,509.88 = 1,053.05/x
  3. Step 3: Cross multiply
    4,339.94x = 6,509.88 × 1,053.05
  4. Step 4: Simplify right side
    4,339.94x = 6,855,196.58
  5. Step 5: Solve for x
    x = 6,855,196.58/4,339.94
  6. Step 6: Final answer
    x = 1,579.56

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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.