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Finding the Fourth Proportional to 4,547.66, 6,275.71 and 2,558.22

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Solution

The fourth proportional to 4,547.66, 6,275.71 and 2,558.22 is: 3,530.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.66 : 6,275.71 = 2,558.22 : x
  2. Step 2: Convert to fraction form
    4,547.66/6,275.71 = 2,558.22/x
  3. Step 3: Cross multiply
    4,547.66x = 6,275.71 × 2,558.22
  4. Step 4: Simplify right side
    4,547.66x = 16,054,640.44
  5. Step 5: Solve for x
    x = 16,054,640.44/4,547.66
  6. Step 6: Final answer
    x = 3,530.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.