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Finding the Fourth Proportional to 4,671.86, 7,005.33 and 1,384.47

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Solution

The fourth proportional to 4,671.86, 7,005.33 and 1,384.47 is: 2,075.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.86 : 7,005.33 = 1,384.47 : x
  2. Step 2: Convert to fraction form
    4,671.86/7,005.33 = 1,384.47/x
  3. Step 3: Cross multiply
    4,671.86x = 7,005.33 × 1,384.47
  4. Step 4: Simplify right side
    4,671.86x = 9,698,669.23
  5. Step 5: Solve for x
    x = 9,698,669.23/4,671.86
  6. Step 6: Final answer
    x = 2,075.98

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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.