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Finding the Fourth Proportional to 5,698.94, 8,547.71 and 1,538.63

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Solution

The fourth proportional to 5,698.94, 8,547.71 and 1,538.63 is: 2,307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.94 : 8,547.71 = 1,538.63 : x
  2. Step 2: Convert to fraction form
    5,698.94/8,547.71 = 1,538.63/x
  3. Step 3: Cross multiply
    5,698.94x = 8,547.71 × 1,538.63
  4. Step 4: Simplify right side
    5,698.94x = 13,151,712.61
  5. Step 5: Solve for x
    x = 13,151,712.61/5,698.94
  6. Step 6: Final answer
    x = 2,307.75

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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.