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Finding the Fourth Proportional to 4,363.84, 6,547.50 and 1,590.70

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Solution

The fourth proportional to 4,363.84, 6,547.50 and 1,590.70 is: 2,386.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363.84 : 6,547.50 = 1,590.70 : x
  2. Step 2: Convert to fraction form
    4,363.84/6,547.50 = 1,590.70/x
  3. Step 3: Cross multiply
    4,363.84x = 6,547.50 × 1,590.70
  4. Step 4: Simplify right side
    4,363.84x = 10,415,108.25
  5. Step 5: Solve for x
    x = 10,415,108.25/4,363.84
  6. Step 6: Final answer
    x = 2,386.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.